211001121111 has 96 divisors (see below), whose sum is σ = 321893865216. Its totient is φ = 121904640000.

The previous prime is 211001121109. The next prime is 211001121181. The reversal of 211001121111 is 111121100112.

It is not a de Polignac number, because 211001121111 - 2¹ = 211001121109 is a prime.

It is a super-2 number, since 2×211001121111² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211001121181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 597736711 + ... + 597737063.

It is an arithmetic number, because the mean of its divisors is an integer number (3353061096).

Almost surely, 2^211001121111 is an apocalyptic number.

211001121111 is a deficient number, since it is larger than the sum of its proper divisors (110892744105).

211001121111 is a wasteful number, since it uses less digits than its factorization.

211001121111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 211001121111 its reverse (111121100112), we get a palindrome (322122221223).

It can be divided in two parts, 21100112 and 1111, that multiplied together give a palindrome (23442224432).

The spelling of 211001121111 in words is "two hundred eleven billion, one million, one hundred twenty-one thousand, one hundred eleven".